Question

Are the two indicated angles adjacent? Why or why not?
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Captionless Image
No, the two angles do not share a common side.
No, the two angles do not share a common vertex.
Yes, the two angles share a common side and a common vertex.
Yes, the two angles add to 180 degrees.

Answer 1

To determine whether the two indicated angles are adjacent, we need to check if they share a common side and a common vertex.

- **Adjacent angles** are two angles that share a common vertex and a common side but do not overlap.

Based on the provided options:

1. **No, the two angles do not share a common side.** - This could mean they are not adjacent, but it depends on other factors.
2. **No, the two angles do not share a common vertex.** - If they do not share a vertex, they cannot be adjacent.
3. **Yes, the two angles share a common side and a common vertex.** - This is the definition of adjacent angles.
4. **Yes, the two angles add to 180 degrees.** - This describes supplementary angles, which may or may not be adjacent.

Without the accompanying image, the definitive answer cannot be determined. However, if the two angles share a common side and a common vertex, then they would be considered adjacent. If they do not share either, they are not adjacent.